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Description
We evaluate the level spacing and smallest eigenvalue distributions of chiral random matrix ensembles transiting from symplectic or orthogonal to unitary symmetry classes with a crossover parameter ρ. As expected from the effective σ model description, these results can be fitted perfectly to the fundamental or adjoint staggered Dirac spectrum of SU(2) quenched lattice gauge theory under the imaginary chemical potential (twisting) μ. The linear dependence of the parameter ρ on μ determines the pion decay constant F as its proportionality constant.
Journal Title
Progress of Theoretical Physics
Volume
128
Issue
6
Start Page
1283
End Page
1292
ISSN
0033068X
Published Date
2012-12
DOI
Publisher
Oxford University Press Published on behalf of Journal of the Physical Society of Japan
NII Type
Journal Article
Format
PDF
Resource URL(IsVersionOf)
http://ci.nii.ac.jp/naid/110009586075
Rights
日本物理学会
Text Version
出版社版
OAI-PMH Set
Interdisciplinary Graduate School of Science and Engineering